MathCastle
Multivariable CalculusHardVector Calculus

Vector Calculus · Hard problem

The attracting force field F=−(x, y, z)(x2+y2+z2)3/2\mathbf F = -\dfrac{(x,\, y,\, z)}{(x^2 + y^2 + z^2)^{3/2}} acts on a particle that moves along a path avoiding the origin from (1,2,2)(1, 2, 2) to (0,3,4)(0, 3, 4). Find the work done by F\mathbf F.